We consider secret sharing schemes with a classical secret and quantum shares. One example of such schemes was recently reported whose access structure cannot be realized by any secret sharing schemes with classical shares. In this paper, we report further quantum secret sharing schemes whose access structures cannot be realized by any classical secret sharing schemes.

We propose efficient secret sharing schemes realizing general access structures. Our proposed schemes are perfect secret sharing schemes and include Shamir’s (k, n)-threshold schemes as a special case. Furthermore, we show that a verifiable secret sharing scheme for general access structures is realized by one of the proposed schemes. key words: (k, n)-threshold scheme, general access structure...

LDPC codes, LT codes, and digital fountain techniques have received significant attention from both academics and industry in the past few years. By employing the underlying ideas of efficient Belief Propagation (BP) decoding process in LDPC and LT codes, this paper introduces three classes of secret sharing schemes called BP-XOR secret sharing schemes, pseudo-BP-XOR secret sharing schemes, and...

A secret sharing scheme derives from a given secret certain shares (or shadows) which are distributed to users. The secret can be recovered only by certain predetermined groups. In the first secret sharing schemes only the number of the participants in the reconstruction phase was important for recovering the secret. Such schemes have been referred to as threshold secret sharing schemes. In the...

Secret sharing plays an important role in protecting confidential information among all participants. A fairness secret sharing scheme assures that a dishonest participant cannot get any advantages over the honest ones in the process of secret reconstruction. Though there are many secret sharing schemes available in the literature, most of them do not satisfy the requirement of fairness. In thi...

By using a recently introduced framework for non-perfect secret sharing, several known results on perfect secret sharing are generalized. Specifically, we discuss about ideal secret sharing schemes, constructions of efficient linear secret sharing schemes, and the search for lower bounds on the length of the shares. Similarly to perfect secret sharing, matroids and polymatroids are very useful ...